Question

What is the formula of integration of $uv$?

Answer 1

The integration of the product of the two functions $u$ and $v$ is,

$\int uvdx=u\int vdx-\int \left(u\text{'}\int vdx\right)dx$

The integration of $uv$ formula is a special rule of integration by parts.

We have to choose $u$ function in the order ILATE.

I: Inverse function

L: Logarithm

A: Algebraic function

T: Trigonometry function

E: Exponential function